67428288 has 70 divisors (see below), whose sum is σ = 199893936. Its totient is φ = 22474368.

The previous prime is 67428281. The next prime is 67428367. The reversal of 67428288 is 88282476.

It is a happy number.

It is a super-2 number, since 2×67428288² = 9093148045221888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67428281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1320 + ... + 11687.

Almost surely, 2^67428288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99946968).

67428288 is an abundant number, since it is smaller than the sum of its proper divisors (132465648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67428288 is a wasteful number, since it uses less digits than its factorization.

67428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13012 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 67428288 is about 8211.4729494775. The cubic root of 67428288 is about 407.0184015328.

The spelling of 67428288 in words is "sixty-seven million, four hundred twenty-eight thousand, two hundred eighty-eight".